10117288516608 has 1408 divisors, whose sum is σ = 39961485527040. Its totient is φ = 2452488192000.

The previous prime is 10117288516579. The next prime is 10117288516649. The reversal of 10117288516608 is 80661588271101.

10117288516608 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 7 + 28 + 8 + 5 + 1 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1839169858 + ... + 1839175358.

It is an arithmetic number, because the mean of its divisors is an integer number (28381736880).

Almost surely, 2^{10117288516608} is an apocalyptic number.

10117288516608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117288516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980742763520).

10117288516608 is an abundant number, since it is smaller than the sum of its proper divisors (29844197010432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10117288516608 is a wasteful number, since it uses less digits than its factorization.

10117288516608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 10117288516608 in words is "ten trillion, one hundred seventeen billion, two hundred eighty-eight million, five hundred sixteen thousand, six hundred eight".